If the pH of the soil is where you want it and if the drainage is good I would go to a no-till system. We have some plots now we have not done any tillage on for 7 or 8 years. Keep in mind the pH has to be correct before starting this. Heavy clays are hard to work and suited well for no-till. In the spring or fall before planting, Roundup or paraquat applications plus 2-4,D (if permitted) will clean you up then you can plant. You want to get your burndown out 3-4 weeks before planting then clean up any escapes with another burndown at planting. Over a period of time with no soil disturbance you will see a lot of your weed pressure go down because your are not bringing any new weed seed into the top of the soil profile to germinate.